Hoya Circular Polarizing

Hoya Circular Polarizing
Is this filter fit my camera?

is the Hoya 52mm Circular Polarizing Filter fits my Olympus E-410 lens (which comes with it)

I could be wrong about that, but I think the diameter of the filter you require is 58 mm, not 52mm. To corroborate take the lens cap end the front of the lens and there is a small circle with a diagonal line through it and a number next to it. That number is the size (mm) the filter you need.

Lumix FZ-35 Hoya Circular Polarizer